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Finding the Third Proportional to 179,388 and 370,437

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Solution

The third proportional to 179,388 and 370,437 is: 764,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,388 : 370,437 = 370,437 : x
  2. Step 2: Convert to fraction form
    179,388/370,437 = 370,437/x
  3. Step 3: Cross multiply
    179,388x = 370,437 × 370,437
  4. Step 4: Simplify right side
    179,388x = 137,223,570,969
  5. Step 5: Solve for x
    x = 137,223,570,969/179,388
  6. Step 6: Final answer
    x = 764,954.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.